A377999 Decimal expansion of L^4/(80*Pi^4) - 1/240, where L is the lemniscate constant (A062539).

1, 8, 9, 9, 0, 1, 2, 0, 5, 1, 1, 1, 9, 6, 2, 2, 1, 7, 6, 9, 2, 6, 7, 5, 8, 3, 4, 8, 3, 2, 8, 6, 2, 2, 0, 3, 0, 9, 6, 8, 3, 1, 0, 7, 7, 3, 0, 3, 4, 1, 8, 1, 2, 3, 2, 1, 6, 1, 8, 7, 0, 4, 0, 9, 5, 8, 3, 5, 4, 9, 0, 7, 7, 9, 5, 2, 3, 4, 7, 5, 4, 2, 1, 1, 0, 3, 8, 2, 5, 5

Offset

-2,2

Links

Table of n, a(n) for n=-2..87.

Wikipedia, Lemniscate constant (includes this constant).

Index to sequences related to the Gamma function.

Formula

Equals (3*Pi^2/Gamma(3/4)^8 - 4)/960 = (3*A002388/A068465^8 - 4)/960.

Equals Sum_{k >= 1} A001158(k)*exp(-2*Pi*k).

Example

0.001899012051119622176926758348328622030968310773034...

Mathematica

First[RealDigits[(3*Pi^2/Gamma[3/4]^8 - 4)/960, 10, 100]] (* or *)
First[RealDigits[Sum[DivisorSigma[3, k]*Exp[-2*Pi*k], {k, Infinity}], 10, 100]]

Crossrefs

Cf. A001158, A002388, A062539, A068465.

Sequence in context: A010732 A235398 A244959 * A345987 A241990 A358519

Adjacent sequences: A377996 A377997 A377998 * A378000 A378001 A378002

Keyword

nonn,cons,easy

Author

Paolo Xausa, Nov 15 2024

Status

approved